Containers aren't parent/child groupings - they're flat, so there's no ownership or hierarchy. It's designed to allow for more convenient picking actions in events, as well as simultaneous creation/destruction of all items in a container.
What you probably want is families. A family can be assigned a single behaviour, and when you use that behaviour (like setting bullet speed, or initiation custom movement or whatever), then all the objects within that family will perform that action.
Here's an example that illustrates this. You'll see that the green block has the drag-and-drop behaviour, so only it can be dragged, but both blocks are moved together with the 8-direction behaviour which they inherit from their family.